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Finding the Fourth Proportional to 8,712.42, 13,055.94 and 6,520.02

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Solution

The fourth proportional to 8,712.42, 13,055.94 and 6,520.02 is: 9,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.42 : 13,055.94 = 6,520.02 : x
  2. Step 2: Convert to fraction form
    8,712.42/13,055.94 = 6,520.02/x
  3. Step 3: Cross multiply
    8,712.42x = 13,055.94 × 6,520.02
  4. Step 4: Simplify right side
    8,712.42x = 85,124,989.92
  5. Step 5: Solve for x
    x = 85,124,989.92/8,712.42
  6. Step 6: Final answer
    x = 9,770.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.